Hi, Peter.
I don't exactly memorize number sequences - my memory isn't that good.
For guitarists, these scale numbers translate into patterns on the fretboard (which can easily be moved up or down the fretboard to change key).
So when I'm playing, I'm picturing in my mind the pattern and the number, so the memorization involves both.
BY the way, BIAB supports this system. For any song with a melody, click on the eighth note icon (Notation or chord sheet window), then in Options, set Note Names to Relative to Key.


Cheers! -Alastair